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Finding the Fourth Proportional to 178,990.95, 268,123.78 and 82,791.44

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Solution

The fourth proportional to 178,990.95, 268,123.78 and 82,791.44 is: 124,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,990.95 : 268,123.78 = 82,791.44 : x
  2. Step 2: Convert to fraction form
    178,990.95/268,123.78 = 82,791.44/x
  3. Step 3: Cross multiply
    178,990.95x = 268,123.78 × 82,791.44
  4. Step 4: Simplify right side
    178,990.95x = 22,198,353,844.44
  5. Step 5: Solve for x
    x = 22,198,353,844.44/178,990.95
  6. Step 6: Final answer
    x = 124,019.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.